Timelike Surfaces With Constant Angle In De Sitter Space

Abstract

In this paper, we study a special class of timelike surface which is called constant timelike angle surfaces in de Sitter space 3 1 S. In 3 1 S , conditions being a constant angle timelike surface have been determined and invariants of these surface have been investigated. In here, we use the angle between unit normal vector field of surfaces and a fixed spacelike axis in ambient space.

Constant Mean Curvature Surfaces Along a Spacelike Curve

“…Recently, Coşanoğlu and Bayram [15] obtained sufficient conditions for constant mean curvature surfaces through a prescribed curve in 3 dimensional Euclidean space. Mert and Karlığa [16] investigated timelike surfaces with constant angle in de-Sitter space. Mert and Atçeken [17] studied normal and binormal surfaces in hyperbolic 3−space.…”